Naturalness of CP Violation in the Standard Model

Details Naturalness of CP Violation in the Standard Model Naturalness of CP Violation in the Standard Model

2008-10-24

arxiv.org/abs/0810.4368v2

Phys.Rev.Lett.102:121802,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages; corrected minor errors, added discussion of the work of Donoghue et al

Scientific paper

10.1103/PhysRevLett.102.121802

We construct a natural measure on the space of CKM matrices in the standard model, assuming the fermion mass matrices are randomly selected from a distribution which fits the observed quark mass hierarchy. This measure allows us to assess the likelihood of Jarlskog's CP violation parameter J taking its observed value J $\approx$ 3 x 10^{-5}. While well below the mathematically allowed maximum, we find that this value is in fact typical, once the observed quark masses are assumed.

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